Question

F the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)

A) 13.3 cm
B) 13.9 cm
C) 14.6 cm
D) 14.9 cm

Answer 1

The length of the diagonal x is 13.9 cm

Explanation:

Given:

Side of the cube = 8 centimetres

To Find:

The length of the diagonal = ?

Solution:

The length of the diagonal is =
`√(3)a`

where a is the side of the cube

On substituting the values

Diagonal x =
`√(3)(8)`

Diagonal x =
`1.73 * 8`

diagonal x = 13.856

Diagonal x = 13.9 cm